Formats: - HTML - YAML - JSON - 2026-07-17T15:30:01.993797
  • lfunc_lfunctions • Show schema
    {'Lhash': '1527639898422955755624050076132', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0.22642622028468837, 0.39218171769886295], 'a4': [0, 0], 'a5': [0, 0], 'a6': [0, 0], 'a7': [-2.543662307036246, 0], 'a8': [0, 0], 'a9': [1.3974623335351795, -2.4204757633466953], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 15.17157638404328, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0, 0]]], [19, [[1.0, 0], [2.704978646313936, 3.418053616166023]]]], 'bad_primes': [2, 5, 19], 'central_character': '1900.501', 'coefficient_field': 'CDF', 'conductor': 1900, 'conductor_radical': 190, 'conjugate': '665525539720061043213742058222', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-0.22642622028468837, -0.39218171769886295], [-1.5, 2.598076211353316]], [[1.0, 0], [0, 0]], [[1.0, 0], [2.543662307036246, 0], [7.0, 0]], [[1.0, 0], [-2.2237679437689413, 0], [11.0, 0]], [[1.0, 0], 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'prelabel': '2-1900-19.7-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.8950707803637252, 'root_angle': 0.17732836413179198, 'root_number': '0.4409073647129782148194140551128481336047571921103105748 + 0.8975526144699578629381020877550808013849749028487117063*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.17732836413179198', 'prec': 64}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.20509539312166740212599407145', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.54581326813441706751142848398', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.36005873496883264741079025758', 'prec': 103}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 15.17157638404328, 'bad_primes': [2, 5, 19], 'central_character': '19.7', 'conductor': 1900, 'conductor_radical': 190, 'degree': 2, 'index': 17, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1900/2/i/g/501/6'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': True, 'is_instance_DIR': False, 'is_instance_ECNF': False, 'is_instance_ECQ': False, 'is_instance_G2Q': False, 'is_instance_HMF': False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '2-1900-19.7-c1-0-17', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-1900-19.7-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.8950707803637252, 'root_angle': 0.17732836413179198, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.20509539312166740212599407145', 'prec': 103}}
  • lfunc_instances • Show schema
    {'Lhash': '1527639898422955755624050076132', 'Lhash_array': ['1527639898422955755624050076132'], 'factors': ['2-1900-19.7-c1-0-17'], 'label': '2-1900-19.7-c1-0-17', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1900/2/i/g/501/6'}